d² Vx7 b) Evaluate dx2 x=9

Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 (D3 + 3D2 + 3D + 2)y = 0 -

A: 2) (D3+3D2+3D+2)y=0 The auxiliary equation is…

Q: Evaluate p(x² + y²)5/2 dA, where D = {(x, y) E R² | 0 < y < 1, - V1- y² < a < 0}.

A:

Q: dt = (c) (9+t2)3/2

A: Given:

Q: Evaluate v (36² - a²) (1 – a³ V3) v3b° x2 dx -

A: Solution is here

Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: V4x² – 49 (b) dx

A:

Q: d²y Find if 2x'-3y=7 dx²

A: Given that       2x3 - 3y2 = 7 Here we have to find     d2y/dx2

Q: (b) where p = √x² + y². δ(x) δ(y) δ(ρ) Σπρ

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 4. (D² +D-1)² y =0 ,when x= y = 0, y' = y" =1, y" = -1

A:

Q: Non-Homogeneous (D2 − D − 2)y = 30

A: Given that: (D2-D-2)y=30

Q: D7 + D® – 2D$ – 2D4 – 7D³ – 7D² – 4D – 4) y = 0 - - - -

A: follow next step

Q: f(x,y)=x² +y° +3xr² – 3y² –8

A: Given f(x,y)=x3+y3+3x2-3y2-8To find critical points, we first compute∂f∂x and ∂f∂y  ,…

Q: Evaluate I = = / x*(x² + 4)³/ª dz

A:

Q: u = 7x3 v = du = dv = csc²x dx

A: to find du and v

Q: 11. (D² – 2D + 5)y = 0 12. (D² + 9)y = 0

A:

Q: d?y Determine if: 2x2 – xy + 5y2 = 7 dx2

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Q: 2 d2 ; C:Z10)=3e ;osOs下

A: we will evaluate this integral by using parameterization since we have given a function in z and…

Q: prove: d2f 2 D² f(r) = dr2 + 2 r df dr

A:

Q: Use the substitution u = :) 2x to evaluate dx 4x² +1

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Q: dx is 2(1 – x²)7 +c is it : V1-x2 a)True b)false

A:

Q: f(x, у) %3D 9х — 2у + 8

A:

Q: Evaluate using the suggested method.

A:

Q: B2. Evaluate (x? V1+x dx by using substitution method.

A: Integration

Q: d2/dt2 (t3 + 2t2 - t)

A:

Q: 21 (D² +6D² + 12D+8)) = 0 [AD: y = (C₁+C₂K+ (3²²) ²24

A: Given differential equation D3+6D2+12D+8y=0. The objective is to solve the differential equation.

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

A:

Q: Let y=cscx then d³ y dx³

A: I am attaching image so that you understand each and every step.

Q: How would I do this?

A: Given integral can be written as

Q: OX 1 25) f(x, y) = Vx2 + y2

A:

Q: S dx b² +x4 - Evaluate

A:

Q: (D² – 3D + 2) y = 16 a. y = cj eª + c2e2 + 8 b. y = c1e¬# + c2e2« + 5 c. y = cieš + c2e² + 10

A:

Q: f (x, y) = v/2x² + y?

A: I Have provided this answer in step-2.

Q: C1oy +11) dy ty2-4y+5 10)

A:

Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

A:

Q: السؤال الرابع: ليكن 2xi + 3yj + 2zk = و - = )f)r حيث = || حيث c مقدار ثابت . div() جد كل من (grad(f…

A: Answer

Q: dx Evaluate V4x – x2 - A. 2 3 C. 4 D. B.

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Q: (D² + 6D + 7)(D3 – 5D² + 6D)y = %3D

A:

Q: (D³ – 4D² + 4D)y = 0 (4D² – 6D + 1)y = 0 %3D

A:

Q: Find d²y dx² d²y dx² in terms of x and y. y5 = x6 6 25 X or|c X

A:

Q: I *Vx² + y² d A, where Evaluate D

A: Introduction: - The polar rectangular region R in the r-plane is defined by the double integral of…

Q: 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0 - -

A: First I have written the auxiliary equation of given differential equation and then find its root…

Q: (D + 3D + 2)y = xsin 2x

A:

Q: 1-r² 8. r dz dr de.

A: Explanation of the answer is as follows

Q: Determine whether the statement is true or false. d²y -() dx2 xp

A: Given,          d2ydx2=dydx2

Q: d?y Find dx2 7x2 + y2 = 6 dx2

A: To find the derivative

Q: 6. Use th A). De B). f' C). f'- D). Li

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Evaluate. r2v3 dx 25 - x2 0.

A:

Q: f (x, y) = 3x² + y³ + 4xy² + 8 What is the value of df (x, y) dy when x = 2 and y = 5?

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Q: 7. Evaluate * 'у 9842у dx2 d*y + 2401y = 0 %3D dx4 y = C;e7* + C2e-7* y = (C, + C2x)e7* + (C3 +…

A: